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<div>:: <span class="kw">deftheorem </span>   defines <a href="gtarski1.html#V6" title="GTARSKI1:attr.6">satisfying_SAS</a> <a onclick="hs(this)" href="javascript:()">GTARSKI1:def 9 : <br/></a><span> for <font color="Olive" title="b1">S</font> being    <a href="gtarski1.html#L1" title="GTARSKI1:struct.1">TarskiGeometryStruct</a>  holds <br/> ( <font color="Olive" title="b1">S</font> is  <a href="gtarski1.html#V6" title="GTARSKI1:attr.6">satisfying_SAS</a>  iff  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font>, <font color="Olive" title="b4">c</font>, <font color="Olive" title="b5">x</font>, <font color="Olive" title="b6">a1</font>, <font color="Olive" title="b7">b1</font>, <font color="Olive" title="b8">c1</font>, <font color="Olive" title="b9">x1</font> being   <a href="gtarski1.html#NM1" title="GTARSKI1:NM.1">POINT</a> of <font color="Olive" title="b1">S</font>  st <font color="Olive" title="b2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">b</font> &amp; <font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font>,<font color="Olive" title="b4">c</font> <a href="gtarski1.html#R3" title="GTARSKI1:pred.3">cong</a> <font color="Olive" title="b6">a1</font>,<font color="Olive" title="b7">b1</font>,<font color="Olive" title="b8">c1</font> &amp;  <a href="gtarski1.html#R1" title="GTARSKI1:pred.1">between</a> <font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font>,<font color="Olive" title="b5">x</font> &amp;  <a href="gtarski1.html#R1" title="GTARSKI1:pred.1">between</a> <font color="Olive" title="b6">a1</font>,<font color="Olive" title="b7">b1</font>,<font color="Olive" title="b9">x1</font> &amp; <font color="Olive" title="b3">b</font>,<font color="Olive" title="b5">x</font> <a href="gtarski1.html#R2" title="GTARSKI1:pred.2">equiv</a> <font color="Olive" title="b7">b1</font>,<font color="Olive" title="b9">x1</font> holds <br/><font color="Olive" title="b4">c</font>,<font color="Olive" title="b5">x</font> <a href="gtarski1.html#R2" title="GTARSKI1:pred.2">equiv</a> <font color="Olive" title="b8">c1</font>,<font color="Olive" title="b9">x1</font> );<br/></span></div>
